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Variational constraints in 3D
1999
Proceedings Shape Modeling International '99. International Conference on Shape Modeling and Applications
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We discuss how to solve variational constraint problems involving points, lines and planes. We concentrate on small problems that must be solved simultaneously. ...
In the case of planar constraint problems, there are fast variational solvers based on restrictions that do not confine applications in CAD. ...
Furthermore, variations of the problem, in which some of the points are replaced with planes and some of the distance constraints with angle constraints, are also solvable with this generic approach. ...
doi:10.1109/sma.1999.749328
dblp:conf/smi/DurandH99
fatcat:ri5ge2wg6bbmffyvaiqzpx47xa
Surface Reconstruction from Sparse & Arbitrarily Oriented Contours in Freehand 3D Ultrasound
2013
Journal of Computers
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in 3D. ...
In the new method, we first constructed on-and off-surface constraints from the segmented contours of all recorded B-scans and then used a variational interpolation technique to get a single implicit function ...
CONCLUSION We present a new approach for the surface reconstruction of sparse and mutually-intersected contours in freehand 3D ultrasound imaging based on variational interpolation. ...
doi:10.4304/jcp.8.5.127-1285
fatcat:h4c6jk7zgjfuhbgclpia574xxe
Shape transformation using variational implicit functions
2005
ACM SIGGRAPH 2005 Courses on - SIGGRAPH '05
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We then invoke a variational interpolation technique (the 3D generalization of thin-plate interpolation), and this yields a single implicit function in 3D. ...
For the case of 2D shapes, we place all of our data constraints within two planes, one for each shape. These planes are placed parallel to one another in 3D. ...
Acknowledgements This work owes a good deal to Andrew Glassner for getting us interested in the shape transformation problem. ...
doi:10.1145/1198555.1198639
dblp:conf/siggraph/TurkO05
fatcat:srmpyuwghjbbjfw36dnxh2lgvq
Shape transformation using variational implicit functions
1999
Proceedings of the 26th annual conference on Computer graphics and interactive techniques - SIGGRAPH '99
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We then invoke a variational interpolation technique (the 3D generalization of thin-plate interpolation), and this yields a single implicit function in 3D. ...
For the case of 2D shapes, we place all of our data constraints within two planes, one for each shape. These planes are placed parallel to one another in 3D. ...
Acknowledgements This work owes a good deal to Andrew Glassner for getting us interested in the shape transformation problem. ...
doi:10.1145/311535.311580
dblp:conf/siggraph/TurkO99
fatcat:dtxkpuvqmbhepaleohn2cmzxfu
3D Stress intensity factor and T-stresses (T11 and T33) formulations for a Compact Tension specimen
2016
Frattura ed Integrità Strutturale
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These formulations help to estimate magnitudes of 3D K I and T 11 and T 33 which are helpful to quantify in-plane and out-of-plane constraint effect of the crack tip. ...
Formulations to estimate 3D K I , T 11 and T 33 stresses are proposed based on extensive 3D Finite element analyses. ...
The proposed analytical formulations can be used to estimate the maximum 3D K I , T 11 and T 33 for the CT specimen, which are helpful in quantifying in-plane and out-ofplane constraint issues in fracture ...
doi:10.3221/igf-esis.39.21
fatcat:txlf5fyhzrbnpntez22ahgoc6u
Acquiring 3D models of non-rigid moving objects from time and viewpoint varying image sequences: a step toward left ventricle recovery
1997
IEEE Transactions on Pattern Analysis and Machine Intelligence
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Index Terms-3D shape recovery, non-rigid object, left ventricle, angiographic image analysis, multiple view integration, time-viewpoint space. ...
This paper describes a method for the accurate recovery of time-varying 3D shapes with known cycle from images with different viewpoints as well as times, aiming at the recovery of the left ventricular ...
ACKNOWLEDGMENTS The authors would like to thank Hiroki Kaihori and Takeshi Sakamoto for their assistance in the experiments. ...
doi:10.1109/34.584103
fatcat:ek6suodn6nhzpawqw4qdiwth7i
System-level process variability analysis and mitigation for 3D MPSoCs
2009
2009 Design, Automation & Test in Europe Conference & Exhibition
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system performance constraints. ...
First, we develop analytical system-level models of the impact of process variations on the performance of FS 3D designs. ...
be the RV corresponding to the variation in delay of critical path j in layer i due to WID variations. ...
doi:10.1109/date.2009.5090739
dblp:conf/date/GargM09
fatcat:dfkuvd76enc2vmsl5wx7si7pt4
Improved 3D assisted pose-invariant face recognition
2009
2009 IEEE International Conference on Acoustics, Speech and Signal Processing
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In this paper, we locate 88 sparse points from the 2D face sample by automatic face fitting and use their correspondence in the 3D face as shape constraint. ...
For each sample, a 3D face is constructed by using 3D Morphable Model (3DMM). ...
They estimate 3D shape from 2D sparse points only, but in this paper, we estimate 3D shape from both image intensity and shape constraint by modifying the energy function. Figure. 1. ...
doi:10.1109/icassp.2009.4959727
dblp:conf/icassp/WangDDF09
fatcat:r5il2cbejbht7gst2uz7tiigx4
Three Dimensional Manufacturing Tolerance Design Using Convex Sets
2013
Procedia CIRP
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In this paper, 3D process dimension and manufacturing tolerance design issue is studied. A 3D tolerance zone calculation method is developed. ...
High demand of wide use of three-dimensional operation models in process planning has resulted in an urgent exploration of new approaches to 3D manufacturing process design. ...
Meanwhile, the variation ranges and constraints of the 3D tolerance torsor parameters are identified by the POAM mentioned above. ...
doi:10.1016/j.procir.2013.08.039
fatcat:opa4jj2syzfbdar5xdkmunamne
Variation of stress intensity factor and elastic T-stress along the crack-front in finite thickness plates
2009
Frattura ed Integrità Strutturale
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T-stress is used as an important constraint parameter in the fracture analysis. ...
The T-stress results obtained in the present analysis together with corresponding K I values can be used for analysis of constraint effects in a fracture specimen. ...
Hence, it is required to conduct 3D analysis to completely assess the constraint issues in a fracture specimen having finite thickness. ...
doi:10.3221/igf-esis.08.04
fatcat:vjxvv6vdarhpze7xwdsjkhcwhe
Data-Driven Flower Petal Modeling with Botany Priors
2014
2014 IEEE Conference on Computer Vision and Pattern Recognition
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In this paper we focus on the 3D modeling of flower, in particular the petals. ...
The complex structure, severe occlusions, and wide variations make the reconstruction of their 3D models a challenging task. ...
Acknowledgement This work is supported in part by US National Science Foundation grants IIS-1231545 and IIS-1208420. ...
doi:10.1109/cvpr.2014.87
dblp:conf/cvpr/ZhangYFY14
fatcat:d3akzk675nhjdk74dnropkjv6m
A retargeting method for stereoscopic 3D video
2015
Computational Visual Media
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Then, to maintain depth mapping stability, we model disparity variation energies to constraint the disparity range both in spatial and temporal domains. ...
We propose a disparity-constrained retargeting method for stereoscopic 3D video, which simultaneously resizes a binocular video to a new aspect ratio and remaps the depth to the perceptual comfort zone ...
Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) ...
doi:10.1007/s41095-015-0016-2
fatcat:q73jfhiawfairhwecldhnz2nku
Neural Process Reconstruction from Sparse User Scribbles
[chapter]
2011
Lecture Notes in Computer Science
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Our method takes advantage of sparse scribble annotations provided by the user to guide a 3D variational segmentation model, thereby allowing our method to globally optimally enforce 3D geometric constraints ...
Moreover, we leverage a novel algorithm for propagating segmentation constraints through the image stack via optimal volumetric pathways, thereby allowing our method to compute highly accurate 3D segmentations ...
We compute the final 3D segmentation by globally refining the volumetric pathway according to an anisotropic variational segmentation model that aligns with strong in-plane image edges and enforces 3D ...
doi:10.1007/978-3-642-23623-5_78
fatcat:jckvmjj2hnghxp2xoxvgtjdtvm
Manhattan and Piecewise-Planar Constraints for Dense Monocular Mapping
2014
Robotics: Science and Systems X
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This paper presents a variational formulation for real-time dense 3D mapping from a RGB monocular sequence that incorporates Manhattan and piecewise-planar constraints in indoor and outdoor man-made scenes ...
Our experiments include the largest map produced by variational methods from a RGB sequence and demonstrate a reduction in the median depth error up to a factor 5×. ...
CONCLUSION In this paper we have presented an algorithm that integrates Manhattan and piecewise-planar constraints into a variational formulation for realtime dense 3D mapping from a RGB camera. ...
doi:10.15607/rss.2014.x.016
dblp:conf/rss/ConchaHMC14
fatcat:53yjsni2r5gh7p6jxrcklt5t7m
Fast and Controllable 3D Modelling From Silhouettes
[article]
2005
Eurographics State of the Art Reports
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We show that a variety of editing operations—which can be defined either in the image or in 3D—can also be expressed as linear constraints on the 3D shape parameters. ...
previously appeared in the large literature on the shape-from-silhouette problem. ...
Constrained variational surfaces We seek a 3D surface r : [0, 1] 2 → R 3 , which is as smooth as possible while obeying user-specified constraints. ...
doi:10.2312/egs.20051011
fatcat:2prmmxa26ncirhcnmp3ws2g34m
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