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Subdivision schemes with optimal bounded curvature near extraordinary vertices

computer GRAPHICS FORUM 2018年第7期37卷 455-467页

作者： Ma, Yue Ma, Weiyin City Univ Hong Kong Dept Mech Engn Hong Kong Hong Kong Peoples R China

We present a novel method to construct subdivision stencils near extraordinary vertices with limit surfaces having optimal bounded curvature at extraordinary positions. With the proposed method, subdivision stencils for newly inserted and updated vertices near extraordinary vertices are first constructed to ensure subdivision with G1 continuity and bounded curvature at extraordinary positions. The remaining degrees of freedom of the constructed subdivision stencils are further used to optimize the eigenbasis functions corresponding to the subsubdominant eigenvalues of the subdivision with respect to G2 continuity constraints. We demonstrate the method by replacing subdivision stencils near extraordinary vertices for Catmull-Clark subdivision and compare the results with the original Catmull-Clark subdivision and previous tuning schemes known with small curvature variation near extraordinary positions. The results show that the proposed method produces subdivision schemes with better or comparable curvature behavior around extraordinary vertices with comparatively simple subdivision stencils.

关键词： CCS Concepts •computing methodologies → Mesh geometry models Parametric curve and surface models •applied computing → computer‐aided design

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Sit & Relax: Interactive design of Body-Supporting Surfaces

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computer GRAPHICS FORUM 2018年第7期37卷 349-359页

作者： Leimer, Kurt Birsak, Michael Rist, Florian Musialski, Przemyslaw TU Wien GCD Vienna Austria

We propose a novel method for interactive design of well-fitting body-supporting surfaces that is driven by the pressure distribution on the body's surface. Our main contribution is an interactive modeling system that utilizes captured body poses and computes an importance field that is proportional to the pressure distribution on the body for a given pose. This distribution indicates where the body should be supported in order to easily hold a particular pose, which is one of the measures of comfortable sitting. Using our approximation, we propose the entire workflow for interactive design of C-2 smooth surfaces which serve as seats, or generally, as body supporting furniture for comfortable sitting. Finally, we also provide a design tool for Rhinoceros/Grasshopper that allows for interactive creation of single designs or entire multi-person sitting scenarios. We also test the tool with design students and present several results. Our method aims at interactive design in order to help designers to create appropriate surfaces digitally without additional empirical design passes.

关键词： CCS Concepts •applied computing → computer‐aided design •computing methodologies → Mesh geometry models

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