Variable Morton Code Encoding for 3D Primitive Clustering
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Solution Overview
Problem
Existing methods for generating Morton codes for efficient ray tracing in computer graphics fail to effectively account for the varying sizes of primitives in a 3D scene, leading to suboptimal clustering and quality of bounding volume hierarchies (BVH) trees.
Innovation Solution
A variable Morton code encoding method that incorporates the size of primitives into the coding pattern, using a prefix and base pattern to normalize primitive sizes relative to the scene, allowing for improved clustering and faster generation of Morton codes.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If traditional Morton code generation methods are used, then the coding process is simple, but the clustering quality of primitives is suboptimal due to not accounting for varying primitive sizes
Solution Approach 1:
The patent changes the parameter representation by incorporating primitive size information into the Morton code structure. Instead of using only position coordinates (x, y, z), the encoding now includes size metrics, transforming the code from a 3D spatial representation to a 4D representation that accounts for both position and size. This parameter expansion enables size-aware clustering while maintaining the hierarchical sorting capability of Morton codes.
Solution Approach 2:
The patent adds an additional dimension to the traditional Morton code by incorporating primitive size as a fourth dimension. The extended Morton code interleaves not only the x, y, z position bits but also size-related bits, creating a multi-dimensional sorting key that simultaneously considers spatial location and primitive extent. This dimensional expansion resolves the contradiction by enabling size-aware clustering without fundamentally changing the Morton code generation approach.
2Manufacturing precision
If primitive size is incorporated into Morton code, then clustering quality improves, but code generation time increases
Solution Approach 1:
The patent applies preliminary action by pre-calculating and storing size metrics for each primitive before the Morton code generation process. The size information is computed once and reused during encoding, avoiding repeated size calculations. This preprocessing step separates the computationally expensive size analysis from the code generation phase, reducing the time penalty of incorporating size information into the Morton codes.
3Reliability
If variable coding patterns are used to normalize primitive sizes, then BVH tree quality improves, but the coding method becomes more complex
Solution Approach 1:
The patent applies local quality by using different coding patterns for different ranges or types of primitives. Instead of a single uniform normalization approach, the system selects specific prefix and base patterns based on the local characteristics of the primitive being encoded. This allows the coding method to adapt to local variations in primitive size distributions, improving BVH quality while keeping the complexity manageable through pattern selection rather than complete recalculation.
Data Source
AI summary
Methods and systems are disclosed for encoding a Morton code. Techniques disclosed comprise receiving location vectors associated with primitives, where the primitives are graphical elements spatially located within a three-dimensional scene. Techniques further comprise determining a code pattern comprising a prefix pattern and a base pattern, and, then, coding each of the location vectors according to the code pattern.


