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We analyze characteristic curves of vector fields and report on locations where they have cusps in their spatial projection, i.e., isolated points on the curve with abruptly turning tangent direction. Cusps appear in places where a projection of the corresponding tangent curve vector field exhibits critical points. We show that such cusps are only possible… (More)

Representing surfaces in local, rather than global, coordinate systems proves to be useful for various geometry processing applications. In particular, we have been investigating surface representations based on differential coordinates, constructed using the Laplacian operator and discrete forms. Unlike global Cartesian coordinates, that only represent the… (More)

High dynamic range (HDR) displays are becoming more common, which has given rise to a number of reverse tone mapping techniques. The goal of these techniques is to expand the dynamic range of all the existing low dynamic range content to t that of these displays. Most of the reverse tone mapping operators, however, fail to o er a good solution in cases… (More)

By embedding images as surfaces in a high dimensional coordinate space defined by each pixel’s Cartesian coordinates and color values, we directly define and employ cotangent-based, discrete differentialgeometry operators. These operators define discrete energies useful for image segmentation and colorization.

- K. Thilagam, S. Karthikeyan, +27 authors Ralph R. Martin
- 2012

Seam Carving, the popular content aware image resizing technique removes seams of low energy iteratively without considering the global visual impact of the image. It is computation intensive. Sometimes seams unavoidable pass through the ROIs and distort their geometric shapes. The ROIs of low energy cannot sustain seam carving. We proposed a piecewise… (More)

Any quantization introduces errors. An important question is how to suppress their visual effect. In this paper we present a new quantization method for the geometry of 3D meshes, which enables aggressive quantization without significant loss of visual quality. Conventionally, quantization is applied directly to the 3-space coordinates. This form of… (More)

- Awadhesh Srivastava, K. K. Biswas, +16 authors Sung-Jea Ko
- 2012

When a video is displayed on a smaller screen than originally intended, some of the information in the video is necessarily lost. In this paper, we introduce Video Retargeting that adapts video to better suit the target display, minimizing the important information lost. We can remove uninteresting part from video like image with some important… (More)

- Olga Sorkine
- SIGGRAPH '11
- 2011

SIGGRAPH is proud to recognize Olga Sorkine as the 2011 recipient of the Significant New Researcher Award. Her outstanding early contributions to the field of geometry processing, particularly her highly influential graduate research on differential coordinates, and her subsequent work on interactive mesh editing have already had a huge impact; her recent… (More)

This paper introduces an implicit representation of the u;v texture mapping. Instead of using the traditional explicit u;v mapping coordinates, a non-distorted piecewise embedding of the triangular mesh is created, on which the original texture is remapped, yielding warped textures. This creates an effective atlas of the mapped triangles and provides a… (More)

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