T-spline simplification and local refinementACM Transactions on Graphics - Tập 23 Số 3 - Trang 276-283 - 2004
Thomas W. Sederberg, David L. Cardon, G. Thomas Finnigan, Nicholas S. North, Jianmin Zheng, Tom Lyche
A typical NURBS surface model has a large percentage of superfluous control
points that significantly interfere with the design process. This paper presents
an algorithm for eliminating such superfluous control points, producing a
T-spline. The algorithm can remove substantially more control points than
competing methods such as B-spline wavelet decomposition. The paper also
presents a new T-splin... hiện toàn bộ
Fitting B-spline curves to point clouds by curvature-based squared distance minimizationACM Transactions on Graphics - Tập 25 Số 2 - Trang 214-238 - 2006
Wenping Wang, Helmut Pottmann, Yang Liu
Computing a curve to approximate data points is a problem encountered frequently
in many applications in computer graphics, computer vision, CAD/CAM, and image
processing. We present a novel and efficient method, calledsquared distance
minimization(SDM), for computing a planar B-spline curve, closed or open, to
approximate a target shape defined by apoint cloud, that is, a set of
unorganized, poss... hiện toàn bộ
Image smoothing via L 0 gradient minimizationACM Transactions on Graphics - Tập 30 Số 6 - Trang 1-12 - 2011
Xu Li, Cewu Lu, Yi Xu, Jiaya Jia
We present a new image editing method, particularly effective for sharpening
major edges by increasing the steepness of transition while eliminating a
manageable degree of low-amplitude structures. The seemingly contradictive
effect is achieved in an optimization framework making use of L 0 gradient
minimization, which can globally control how many non-zero gradients are
resulted in to approximate... hiện toàn bộ
Shape googleACM Transactions on Graphics - Tập 30 Số 1 - Trang 1-20 - 2011
Alexander M. Bronstein, Michael M. Bronstein, Leonidas J. Guibas, Maks Ovsjanikov
The computer vision and pattern recognition communities have recently witnessed
a surge of feature-based methods in object recognition and image retrieval
applications. These methods allow representing images as collections of “visual
words” and treat them using text search approaches following the “bag of
features” paradigm. In this article, we explore analogous approaches in the 3D
world applied... hiện toàn bộ
Mesh saliencyACM Transactions on Graphics - Tập 24 Số 3 - Trang 659-666 - 2005
Chang Ha Lee, Amitabh Varshney, David W. Jacobs
Research over the last decade has built a solid mathematical foundation for
representation and analysis of 3D meshes in graphics and geometric modeling.
Much of this work however does not explicitly incorporate models of low-level
human visual attention. In this paper we introduce the idea of mesh saliency as
a measure of regional importance for graphics meshes. Our notion of saliency is
inspired ... hiện toàn bộ
Schelling points on 3D surface meshesACM Transactions on Graphics - Tập 31 Số 4 - Trang 1-12 - 2012
Xiaobai Chen, Abulhair Saparov, Bill Pang, Thomas Funkhouser
This paper investigates "Schelling points" on 3D meshes, feature points selected
by people in a pure coordination game due to their salience. To collect data for
this investigation, we designed an online experiment that asked people to select
points on 3D surfaces that they expect will be selected by other people. We then
analyzed properties of the selected points, finding that: 1) Schelling point... hiện toàn bộ
Mesh saliency via spectral processingACM Transactions on Graphics - Tập 33 Số 1 - Trang 1-17 - 2014
Ran Song, Yonghuai Liu, Ralph R. Martin, Paul L. Rosin
We propose a novel method for detecting mesh saliency, a perceptually-based
measure of the importance of a local region on a 3D surface mesh. Our method
incorporates global considerations by making use of spectral attributes of the
mesh, unlike most existing methods which are typically based on local geometric
cues. We first consider the properties of the log-Laplacian spectrum of the
mesh. Those ... hiện toàn bộ
MeshWalkerACM Transactions on Graphics - Tập 39 Số 6 - Trang 1-13 - 2020
Alon Lahav, Ayellet Tal
Most attempts to represent 3D shapes for deep learning have focused on
volumetric grids, multi-view images and point clouds. In this paper we look at
the most popular representation of 3D shapes in computer graphics---a triangular
mesh---and ask how it can be utilized within deep learning. The few attempts to
answer this question propose to adapt convolutions & pooling to suit
Convolutional Neural... hiện toàn bộ
CNNs on surfaces using rotation-equivariant featuresACM Transactions on Graphics - Tập 39 Số 4 - 2020
Ruben Wiersma, Elmar Eisemann, Klaus Hildebrandt
This paper is concerned with a fundamental problem in geometric deep learning
that arises in the construction of convolutional neural networks on surfaces.
Due to curvature, the transport of filter kernels on surfaces results in a
rotational ambiguity, which prevents a uniform alignment of these kernels on the
surface. We propose a network architecture for surfaces that consists of
vector-valued, ... hiện toàn bộ
MeshCNNACM Transactions on Graphics - Tập 38 Số 4 - Trang 1-12 - 2019
Rana Hanocka, Amir Hertz, Noa Fish, Raja Giryes, Shachar Fleishman, Daniel Cohen‐Or
Polygonal meshes provide an efficient representation for 3D shapes. They
explicitly captureboth shape surface and topology, and leverage non-uniformity
to represent large flat regions as well as sharp, intricate features. This
non-uniformity and irregularity, however, inhibits mesh analysis efforts using
neural networks that combine convolution and pooling operations. In this paper,
we utilize the... hiện toàn bộ