Research areas
Research
We study geometric representations and algorithms for surface queries, neural surface reconstruction, additive manufacturing, and the evaluation of 3D shape recognition from rendered images.
Toroidal patches & spatial queries
Local differential geometry becomes an analytic primitive for intersection, approximation and distance queries.
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Learning on an analytic base
Let a geometric model carry the local shape, then learn a scalar displacement along its normal.
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Geometry for additive manufacturing
Construct non-cuboidal lattice tiles, fit microstructures inside a shape, and place supports with geometric control.
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How VLMs read 3D shape
Study the evidence in a rendered image by varying how surface faces are revealed and how recognition is measured.
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Each topic introduces the geometric problem, explains the method, and links to the related research papers.