From bedbc7833f1a6fe3e334218b60fd16829f77af3a Mon Sep 17 00:00:00 2001 From: Andy Shiue Date: Wed, 22 Nov 2023 18:43:20 -0500 Subject: [PATCH] Proposal of billboards transformations based on extending the XformOp --- proposals/billboards-xformOp/README.md | 320 ++++++++++++++++++ .../billboards-examples.png | Bin 0 -> 160718 bytes proposals/billboards-xformOp/billboards.usda | 55 +++ 3 files changed, 375 insertions(+) create mode 100644 proposals/billboards-xformOp/README.md create mode 100644 proposals/billboards-xformOp/billboards-examples.png create mode 100644 proposals/billboards-xformOp/billboards.usda diff --git a/proposals/billboards-xformOp/README.md b/proposals/billboards-xformOp/README.md new file mode 100644 index 0000000..670ca44 --- /dev/null +++ b/proposals/billboards-xformOp/README.md @@ -0,0 +1,320 @@ +![Status:Draft](https://img.shields.io/badge/Draft-red) + +# Billboards XformOp for OpenUSD + +- [Purpose and Context](#purpose-and-context) +- [Specification](#specification) +- [Design and Implementation](#design-and-implementation) + +## Purpose and Context +In the viewport rendering, there are use cases that certain renderables need to be a +fixture at a predefined screen location and in fixed pixel size. Examples include the axis tripod +at a corner of the viewport, or a fixed pixel-sized callout following the character. The renderable +could also maintain its facing alignment. A callout with texts is one such example. We called +such transformations `billboards transformations` and intend to support them as `XformOp`s in the +transformation stack in USD. + +### Transformation Stack in OpenUSD +The core of managing the transformation stack in USD is `UsdGeomXformable` (`Xformable`). +`Xformable` provides a schema base for schemas such as `Gprim`s, `Camera` and `Xform` to embed +transformation operations. The operation to compute the transformation matrix (such as +translate, rotation and scale) is `UsdGeomXformOp` (`XformOp`). Every `Xformable`-based schema +maintains an ordered set of `XformOp`s. A local transformation matrix (i.e. a typical model-to-world +matrix) of a primitive is constructed by chain-multiplying the individual `XformOp` matrix in +the specified order in `xformOpOrder`. `xformOpOrder` is a `Xformable` attribute that defines a +token array of ordered `XformOp`s. + +Here is an example of the transformation stack in USD: +```python +def Xform "Cones" +{ + double3 xformOp:translate = (1.0, 0.0, 0.0) + double3 xformOp:rotateXYZ = (-90.0, 0.0, 0.0) + uniform token[] xformOpOrder = ["xformOp:translate", "xformOp:rotateXYZ"] + def Cone "Cone1" + { + double radius = 1.0 + double height = 3.0 + color3f[] primvars:displayColor = [(0.8, 0.0, 0.8)] + } + def Cone "Cone2" + { + double3 xformOp:translate = (0.0, 1.0, 0.0) + uniform token[] xformOpOrder = ["xformOp:translate"] + + double radius = 1.0 + double height = 3.0 + color3f[] primvars:displayColor = [(0.8, 0.8, 0.0)] + } +} +``` +In this example both `Cones` and `Cone2` defined their local transformations. The local +transformation defined in `Cones` is a left-multiplied matrix of the local transformation +of `Cone2`. In other words, transformation of `Cones` is a part of the transformation stack +of `Cone2`. If you flatten the transformation stack, `Cone2` inherently defined an ordered +set of `XformOp`s of [*Cones*:`xformOp:translate`, *Cones*:`xformOp:rotateXYZ`, `xformOp:translate`]. + +Currently USD only support **simple** `xformOp`s. **Simple** means a transformation matrix +can be computed solely on Op's attributes. In our previous example, the matrix of +`xformOp:translate` can be computed with the authored offset vector ```(1.0, 0.0, 0.0)```. +There are no external parameters required in this matrix computation. All `XformOp`s supported +in USD right now have and only need one attribute to compute its local transformation. + +Billboards transformation is not simple. It is **compound** and **extrinsic**. + +### Examples of billboards transformation +![Examples of billboards transformation](billboards-examples.png) + +This screenshot demonstrates some use cases of the billboards transformation: + - Callout: display screen facing texts at a fixed screen location with a fixed screen size. + - Pin: display a screen facing pin with a fixed scale. + - Axis tripod: display an axis tripod at a fixed screen location with a fixed screen size. + +### Billboards Transformation +A billboards transformation places the renderable (or transformable in USD) +in a predefined screen location, with a constant pixel-scaled size, or a +locked facing alignment. A billboards transformation may consist of three types +of transformations: affix the position, affix the size and align the front facing. +Each of these transformations is defined as a `XformOp` in USD. XformOp `affixPosition` +constructs the transformation that positions the transformable at an authored screen location. +XformOp `affixScale` constructs the transformation that scales the renderable to an authored +screen size. XformOp `align` constructs the transformation that maintains the orientation of +transformable's front facing. + +`affixPosition`, `affixScale` and `align` are **compound** since they all require a set of +attributes (instead of single one) to compute the transformation matrix. All three +XformOp are **extrinsic** as they all request the current viewing states (such as +the view matrix and the projection matrix) to compute the local transformation of the +billboarded primitives (again, a transformable in USD). + +XformOps `affixPosition` and `affixScale` can specify the target position and size +in a selected coordinate space: +- `ndc`: coordinate is in the normalized device space ([-1.0, 1.0]x[-1.0, 1.0]) +- `view`: coordinate is in the view space, where camera is at (0,0,0) and faces the x-y plane. +- `screen`: coordinate is in the screen space ([0, width-1]x[0, height-1] where width and +height are in pixels). + +XformOp `affixPosition` consists of two attribute fields to affix the transformable to the +specified screen location: +- `affixPosition:anchor`: source location that is specified in the model space. +- `affixPosition:anchorage`: target location that is specified in the selected +coordinate space (`ndc`, `view`, or `screen`). + +`affixPosition` constructs the local transformation that affixes `anchor` to `anchorage` +on the screen. + +XformOp `affixScale` consists of three attribute fields to affix the screen size of the +transformable. +- `affixScale:baseSize`: the unit size in the model space. +- `affixScale:scaleSize`: the equivalent unit size in the selected coordinate space ( +`ndc`, `view`, or `screen`). +- `affixScale:pivot`: the center position of the scaling in the model space. + +`affixScale` constructs the local transformation that scales the transformable to +match the model-space unit size of `baseSize` to `scaleSize` in the designated space. + +XformOp `align` fixes the alignment with a reference plane that is orthogonal to the +front normal of the transformable. Three types of the reference plane are supported: +- `screen`: front normal is orthogonal to the screen plane (i.e. the near plane of the +viewing frustum). +- `viewer`: front normal points to the camera location. +- `plane`: front normal is orthogonal to a custom plane. + +`align` constructs the local transformation that maintains the orientation of the +transformable's front facing. It consists of one optional attribute field for the +`plane` reference plane: +- `align:plane`: a 3D plane defined by the authored normal of the plane. + +XformOps `affixPosition`, `affixScale`, and `align` can be turned off with authored +value of `off`. This `off` mode allows artist and developers to disable the billboards +transformation with overrides. + +All billboards XformOps are acceptable Ops in `xformOpOrder`. Billboards XformOps can +combine with the existing XformOps in USD. This allows the use cases such as rendering a +fixed-size axis-tripod at a fixed screen location. The axis-tripod can, of course, synchronize +its rotation with the trackball action of the camera. + +## Specification + +### Design and Implementation Requirements +- Billboards XformOp needs to have no functionality impact on xformOp usages in existing USD +stages and layers. +- Billboards XformOp should have zero or ignorable performance impact on current xformOps +and transformation stack. +- Billboards xformOp should behave in the same way, from designer's point of view, of xformOps +such as translate and rotation. +- Billboards xformOp needs to work with `Xform`, `Xformable` and any schema +that is based on `Xformable` without explicit and additional effort. +- Billboards xformOp needs to work within the current schema API of the transformation stack. + +### .usda Examples +A full example can be found in [billboards.usda](./billboards.usda). Examples listed below +demonstrate the billboards XformOp in various use cases. + +#### Billboards `xformOp` in `Xform` +```python +def Xform "billboardXform" +{ + token xformOp:affixPosition = "screen" # supported tokens: "off", "screen", "ndc", "view" + float3 xformOp:affixPosition:anchor = (1.0, 5.0, 6.0) # anchor location in the model space + float3 xformOp:affixPosition:anchorage = (12, 34, 56) # anchored location in the screen space ("screen" mode) + + token xformOp:affixScale = "ndc" # supported tokens: "off", "screen", "view", "ndc" + float xformOp:affixScale:baseSize = 1.0 # unit size in the model space that is scaled to match `scaleSize` in the designated space + float xformOp:affixScale:scaleSize = 0.2 # uint size in clip space ("ndc" mode in this example) + float3 xformOp:affixScale:pivot = (0.0, 0.0, 0.0) # center position of the scale transformation in the model space + + token xformOp:align = "plane" # supported tokens: "off", "screen", "viewer", "plane" + float3 xformOp:align:plane = (-1.0, -5.5, 60.0) # plane normal in the world space (optional field - "plane" mode only). + + uniform token[] xformOpOrder = ["xformOp:align", "xformOp:affixPosition", "xformOp:affixScale"] + + def Cone "coneShape" + { + double radius = 2.0 + double height = 3.0 + color3f[] primvars:displayColor = [(0.5, 0, 0)] + } +} +``` + +#### Billboards `xformOp` in Gprim +```python +def Cone "billboardCone" +{ + token xformOp:affixPosition = "screen" # supported tokens: "off", "screen", "ndc", "view" + float3 xformOp:affixPosition:anchor = (1.0, 5.0, 6.0) # anchor location in the model space + float3 xformOp:affixPosition:anchorage = (12, 34, 56) # anchored location in the screen space ("screen" mode) + + token xformOp:affixScale = "ndc" # supported tokens: "off", "screen", "view", "ndc" + float xformOp:affixScale:baseSize = 1.0 # unit size in the model space that is scaled to match `scaleSize` in the designated space + float xformOp:affixScale:scaleSize = 0.2 # uint size in clip space ("ndc" mode in this example) + float3 xformOp:affixScale:pivot = (0.0, 0.0, 0.0) # center position of the scale transformation in the model space + + token xformOp:align = "plane" # supported tokens: "off", "screen", "viewer", "plane" + float3 xformOp:align:plane = (-1.0, -5.5, 60.0) # plane normal in the world space (optional field - "plane" mode only). + + uniform token[] xformOpOrder = ["xformOp:align", "xformOp:affixPosition", "xformOp:affixScale"] + + double radius = 2.0 + double height = 3.0 + color3f[] primvars:displayColor = [(0.5, 0, 0)] +} +``` +#### Billboards `xformOp` with existing USD `xformOp` +```python +def Cone "constantCone" +{ + token xformOp:affixScale = "ndc" # supported tokens: "off", "screen", "view", "ndc" + float xformOp:affixScale:baseSize = 1.0 # unit size in the model space that is scaled to match `scaleSize` in the designated space + float xformOp:affixScale:scaleSize = 0.2 # uint size in clip space ("ndc" mode in this example) + float3 xformOp:affixScale:pivot = (0.0, 0.0, 0.0) # center position of the scale transformation in the model space + + double3 xformOp:translate = (5.0, 0.0, 0.0) + + uniform token[] xformOpOrder = ["xformOp:translate", "xformOp:affixScale"] + + double radius = 2.0 + double height = 3.0 + color3f[] primvars:displayColor = [(0.5, 0, 0)] +} +``` + +### Mathematics +This section shows the simplified mathematics to construct the local transformation of the +transformable. Each billboards XformOp can have various space modes of `screen`, `ndc` +and `view` space. Here we demonstrate the mathematics on the `screen` space. + +#### `affixPosition`: affix the transformable to a screen position + +```cpp +GfVec3f anchorOnScreen = model2screen(anchor); // `anchor` is authored in the model space +GfVec3f offsetOnScreen = anchorage - anchorOnScreen; // `anchorage` is authored in the `screen` space in this example +GfVec3f offsetInWorld = screen2world(offsetOnScreen); + +GfMatrix4d mat{1.0}; +mat.translate(offsetInWorld); +``` + +#### `affixScale`: affix the transformable to a screen size +```cpp +float scaleSizeModel = ComputeScaleSizeInModelSpace(scaleSize, `screen`); //`scaleSize` is authored in the `screen` space in this example +GfVec3f scale{scaleSizeModel/baseSize}; // `baseSize` is authored in the model space +GfMatrix4d mat{1.0}; +mat *= GfMatrix4d{1.0}.SetTranslate(-pivot); // `pivot` is authored in the model space +mat *= GfMatrix4d{1.0}.SetScale(scale); +mat *= GfMatrix4d{1.0}.SetTranslate(pivot); +``` + +#### `align`: align to camera's near plane (screen mode) +```cpp +GfMatrix4d view2model = world2model * view2world; +GfVec3d x = Vec3d{view2model.GetRow(0).GetNormalized()}; +GfVec3d y = Vec3d{view2model.GetRow(1).GetNormalized()}; +GfVec3d z = GfCross(x, y).GetNormalized(); + +GfMatrix4d mat; +mat.SetRow(0, Vec4d{x, 0.0}); +mat.SetRow(1, Vec4d{y, 0.0}); +mat.SetRow(2, Vec4d{z, 0.0}); +mat.SetRow(3, {0.0, 0.0, 0.0, 1.0}); +``` + +## Design and Implementation +### Changes to `UsdGeomXform`, `UsdGeomXformable` and `UsdGeomXformOp` +There will be no changes to `UsdGeomXform` or any schema based on `UsdGeomXformable`. +`UsdGeomXformable` will add a new set of Get/Create API of billboards XformOp, +similar to the current XformOps such as `translate` and `scale` ..etc. + +`UsdGeomXformOp` will be expanded to support the new set of billboards `XformOp`s. Here +are the list of changes in `UsdGeomXformOp`: +- New XformOp tokens `xformOp:affixPosition`, `xformOp:affixScale`, and `xformOp:align` to +define the respective billboards XformOp. +- New tokens `screen`, `view`, and `ndc` to specify the billboards mode (indicating by its + target space). An additional token `off` can deactivate the billboards transformation. +- New tokens to define the attribute fields of the billboards xformOp: + - `xformOp:affixPosition:anchor` + - `xformOp:affixPosition:anchorage` + - `xformOp:affixScale:baseSize` + - `xformOp:affixScale:scaleSize` + - `xformOp:affixScale:pivot` + - `xformOp:align:plane`. +- Since USD does not support compound attributes (attributes that have multiple +sub-attributes, i.e. fields), these attribute fields are collected into a dictionary +and set as the custom data of the main attribute of the billboards XformOp. + +### Accessing the active camera states +Billboards transformations construct the local transformation using active camera +states such as the view matrix and projection matrix. Currently, USD (the scene description) +does not store the camera states nor provides APIs to access them. We propose +a registry of the renderer context to bridge (and soft-couple) the USD and the renderer. The +examples of the renderer are a hydra render delegate like HdStorm or a scene index implementation. +Codes behind the hydra layer updates the camera states stored in the registry whenever the +camera is updated. While computing the local transformation, billboards XformOps retrieve +the latest updated camera states from the registry. + +The registry (named **RendererContext**) maintains a map of a `TfToken` +and a `VtValue`. The registry provides a built-in set of camera states and explicit +APIs to get/set them. Users are allowed to add any generic data entry to the registry +with a custom token and any value type of `VtValue`. + +### Runtime update of billboards `xformOp`s +Billboards xformOps rely on the active camera states to compute the local transformation. +This creates the inherent dependency of billboards transformation on camera states such as +the view matrix and the projection matrix. In other words, the billboards transformations +need to be updated whenever the camera states are changed. An XformOp usually is +computed during the sync phase of the scene rendering if its associated prim is dirty. +Our billboards XformOp will need to mark its prim (i.e. the transformable) dirty so +the prim will be visited during the next sync. + +OpenUSD provides `ChangeTracker` to manage the invalidation and dirtiness of the prims. +Unfortunately, USD layer cannot access components in the Hydra layer, where `ChangeTracker` +resides in. We will need to rely on prim's attributes to invalidate the prim in our +billboards XformOps. + +Billboards XformOps create private attributes in the attached prim for each dependent +camera state. We will call these private attributes **state attributes**. +In the renderer context, billboards XformOps register the change observers +to set the new values in the state attributes when the renderer modifies the +camera states. 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xformOpOrder = ["xformOp:translate"] + + double radius = 1.0 + double height = 2.0 + color3f[] primvars:displayColor = [(0.6, 0.6, 0.6)] +} + +def Cone "billboardPosition" +{ + token xformOp:affixPosition = "ndc" # supported tokens: "off", "screen", "view", "ndc" + float3 xformOp:affixPosition:anchor = (0.0, 0.0, 0.0) # anchor location in the model space + float3 xformOp:affixPosition:anchorage = (0.5, 0.2, 0) # anchored location in the clip space ("ndc" mode), z component is ignored. + + uniform token[] xformOpOrder = ["xformOp:affixPosition"] + + double radius = 1.0 + double height = 2.0 + color3f[] primvars:displayColor = [(1.0, 0.6, 0.0)] +} + +def Cone "billboardScale" +{ + double3 xformOp:translate = (-10, 0, 0) + + token xformOp:affixScale = "ndc" # supported tokens: "off", "screen", "view", "ndc" + float xformOp:affixScale:baseSize = 1.0 # unit size in the model space that is scaled to match `scaleSize` in the designated space + float xformOp:affixScale:scaleSize = 0.2 # uint size in clip space ("ndc" mode in this example) + float3 xformOp:affixScale:pivot = (0.0, 0.0, 0.0) # center position of the scale transformation in the model space + + uniform token[] xformOpOrder = ["xformOp:translate", "xformOp:affixScale"] + + double radius = 1.0 + double height = 2.0 + color3f[] primvars:displayColor = [(0.1, 0.3, 1.0)] +} + +def Cone "billboardFacing" +{ + double3 xformOp:translate = (0, -10, 0) + + token xformOp:align = "screen" # supported tokens: "off", "screen", "viewer", "plane" + float3 xformOp:align:plane = (-1.0, -5.5, 60.0) # plane normal in the world space (optional field - "plane" mode only). + + uniform token[] xformOpOrder = ["xformOp:translate", "xformOp:align"] + + double radius = 1.0 + double height = 2.0 + color3f[] primvars:displayColor = [(0.1, 0.6, 0.05)] +} +