Modeling tasks, such as surface deformation and editing, can be analyzed by observing the local behavior of the surface. We argue that defining a modeling operation by asking for rigidity of the local transformations is useful in various settings. Such formulation leads to a non-linear, yet conceptually simple energy formulation, which is to be minimized by the deformed surface under particular...

In this paper, we present an efficient approach for parameterizing a genus-zero triangular mesh onto the sphere with an optimal radius in an as-rigid-as-possible (ARAP) manner, which is an extension of planar ARAP parametrization approach to spherical domain. We analyze the smooth and discrete ARAP energy and formulate our spherical parametrization energy from the discrete ARAP energy. The solu...

Debate regarding ''When to start'' antiretroviral (ARV) therapy has raged since the introduction of zidovudine in 1987. Based on the entry criteria for the original Burroughs Wellcome (002) study, the field has been anchored to ''CD4 counts'' as the prime metric to indicate ARV treatment initiation for asymptomatic HIV-positive individuals. The pendulum has swung back and forth, based mostly on...

In this paper, we tackle the problem of generalizing conformal maps to volumetric meshes. Current methods seek for harmonicity but unfortunately, no computational methods optimize conformality in the volumetric context. As it is proven that conformal maps do not exist for general volume transformations, we seek to optimize shape preservation with a generalization of the CauchyRiemann equations....

This paper is concernedwith the derivation of infinite schedules for timed automata that are in some sense optimal. To cover a wide class of optimality criteria we start out by introducing an extension of the (priced) timed automata model that includes both costs and rewards as separate modelling features. A precise definition is then given of what constitutes optimal infinite behaviours for th...

We propose a formulation capable of deforming meshes in a shape-sensible way. We explain how to adapt the original space-deforming algorithm [2] into a skeleton-driven deformation scheme, where more sensitivity to the mesh geometry is achieved. The more natural results make it possible to use the technique for character animation.

Widely used for morphing between objects with arbitrary topology, distance field interpolation (DFI) handles topological transition naturally without the need for correspondence or remeshing, unlike surface-based interpolation approaches. However, lack of correspondence in DFI also leads to ineffective control over the morphing process. In particular, unless the user specifies a dense set of la...

We present a non-rigid surface registration technique that can align surfaces with sizes and shapes that are different from each other, while avoiding mesh distortions during deformation. The registration is constrained locally as-conformal-as-possible such that the angles of triangle meshes are preserved, yet local scales are allowed to change. Based on our conformal registration technique, we...