8.7.5 Splines, General Papers

Chapter Contents (Back)
Splines.

Cohen, E.[Elaine], Lyche, T.[Tom], Riesenfeld, R.F.[Richard F.],
Discrete B-splines and subdivision techniques in computer-aided geometric design and computer graphics,
CGIP(14), No. 2, October 1980, pp. 87-111.
WWW Version. 0501 BibRef

Dierckx, P.,
Algorithms for Smoothing Data with Periodic and Parametric Splines,
CGIP(20), No. 2, October 1982, pp. 171-184.
WWW Version. BibRef 8210

Tiller, W.,
Rational B-Splines for Curve and Surface Representation,
IEEE_CGA(3), No. 6, November 1983, pp. 61-69. BibRef 8311

Frost, C.E., Kinzel, G.L.,
An Automatic Adjustment Procedure for Rational Splines,
Computers&Graphics(6), 1982, pp. 171-176. BibRef 8200

Barsky, B.A., Beatty, J.C.,
Local Control of Bias and Tension in Beta-Splines,
TOG(2), 1983, pp. 109-134. BibRef 8300

Barsky, B.A.,
Exponential and Polynomial Methods for Applying Tension to an Interpolating Spline Curve,
CVGIP(27), No. 1, July 1984, pp. 1-18.
WWW Version. BibRef 8407

Alia, G., Barsi, F., Martinelli, E., and Tani, N.,
Angular Spline: A New Approach to the Interpolation Problem in Computer Graphics,
CVGIP( 39), No. 1, July 1987, pp. 56-72.
WWW Version. BibRef 8707

Pham, B.,
Conic B-Splines for Curve Fitting: A Unifying Approach,
CVGIP(45), No. 1, January 1989, pp. 117-125.
WWW Version. BibRef 8901

Goshtasby, A., Cheng, F., and Barsky, B.A.,
B-Spline Curves and Surfaces Viewed as Digital Filters,
CVGIP(52), No. 2, November 1990, pp. 264-275.
WWW Version. BibRef 9011

Unser, M., Aldroubi, A., and Eden, M.,
Fast B-Spline Transforms for Continuous Image Representation and Interpolation,
PAMI(13), No. 3, March 1991, pp. 277-285.
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 9103

Rabut, C.[Christophe],
Even Degree B-Spline Curves and Surfaces,
GMIP(54), No. 4, July 1992, pp. 351-356. A Note on See also B-Spline Curves and Surfaces Viewed as Digital Filters. BibRef 9207

Pavlidis, T.,
Applications of Splines to Shape Description,
VF91(431-441). Splines for representing contours. BibRef 9100

Goldman, R.[Ron], Warren, J.[Joe],
An Extension of Chaiken's Algorithm to B-Spline Curves with Knots in Geometric Progression,
GMIP(55), No. 1, January 1993, pp. 58-yy. BibRef 9301

Howell, G.W.[Gary W.], Fausett, D.W.[Donald W.], Fausett, L.[Laurene],
Quasi-Circular Splines: A Shape-Preserving Approximation,
GMIP(55), No. 2, March 1993, pp. 89-yy. BibRef 9303

Ferrari, L.A., Silbermann, M.J., Sankar, P.V.,
Efficient Algorithms for the Implementation of General B-Splines,
GMIP(56), No. 1, January 1994, pp. 102-yy. BibRef 9401

Sankar, P.V., Ferrari, L.A.,
Simple Algorithms and Architectures for B-Spline Interpolation,
PAMI(10), No. 2, March 1988, pp. 271-276.
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 8803

Flickner, M.D., Hafner, J., Rodriguez, E.J., Sanz, J.L.C.,
Periodic Quasi-Orthogonal Spline Bases and Applications to Least-Squares Curve-Fitting of Digital Images,
IP(5), No. 1, January 1996, pp. 71-88.
WWW Version. BibRef 9601
Earlier:
Fast least-squares curve fitting using quasi-orthogonal splines,
ICIP94(I: 686-690).
WWW Version. 9411 BibRef

Ishida, J.,
The General B-Spline Interpolation Method and Its Application to the Modification of Curves and Surfaces,
CAD(29), No. 11, November 1997, pp. 779-790. 9712 BibRef

Tuohy, S.T., Maekawa, T., Shen, G., Patrikalakis, N.M.,
Approximation of Measured Data with Interval B-Splines,
CAD(29), No. 11, November 1997, pp. 791-799. 9712 BibRef

Karczewicz, M., Gabbouj, M.,
Robust B-Spline Image Modeling with Application to Image Processing,
IP(7), No. 6, June 1998, pp. 912-917.
WWW Version. 9806 See also Dedicated Hardware System for a Class of Nonlinear Order Statistics Rational Hybrid Filters with Applications to Image Processing, A. BibRef

Wang, Y.P., Lee, S.L., Toraichi, K.,
Multiscale Curvature-Based Shape Representation Using B-Spline Wavelets,
IP(8), No. 11, November 1999, pp. 1586-1592.
WWW Version. 9911 BibRef

Panda, R.[Rutuparna], Chatterji, B.N.,
Least squares generalized B-spline signal and image processing,
SP(81), No. 10, October 2001, pp. 2005-2017.
HTML Version. 0110 BibRef

Lehmann, T.M., Gonner, C., Spitzer, K.,
Addendum: B-spline interpolation in medical image processing,
MedImg(20), No. 7, July 2001, pp. 660-665.
IEEE Top Reference. 0110 BibRef

Hu, S.M., Tai, C.L., Zhang, S.,
An extension algorithm for B-splines by curve unclamping,
CAD(34), 2002, pp. 415-419.
WWW Version. BibRef 0200

van de Ville, D., Blu, T., Unser, M., Philips, W., Lemahieu, I., van de Walle, R.,
Hex-splines: a novel spline family for hexagonal lattices,
IP(13), No. 6, June 2004, pp. 758-772.
WWW Version. 0406 BibRef

Condat, L.[Laurent], van de Ville, D.[Dimitri],
Quasi-Interpolating Spline Models for Hexagonally-Sampled Data,
IP(16), No. 5, May 2007, pp. 1195-1206.
WWW Version. 0704 BibRef

van de Ville, D., Blu, T., Unser, M.,
Isotropic Polyharmonic B-Splines: Scaling Functions and Wavelets,
IP(14), No. 11, November 2005, pp. 1798-1813.
WWW Version. 0510 BibRef

Beg, M.F.[M. Faisal], Miller, M.I.[Michael I.], Trouvé, A.[Alain], Younes, L.[Laurent],
Computing Large Deformation Metric Mappings via Geodesic Flows of Diffeomorphisms,
IJCV(61), No. 2, February 2005, pp. 139-157.
WWW Version. 0410 BibRef

Beg, M.F.[M. Faisal], Khan, A.,
Symmetric Data Attachment Terms for Large Deformation Image Registration,
MedImg(26), No. 9, September 2007, pp. 1179-1189.
WWW Version. 0710 BibRef

Miller, M.I.[Michael I.], Trouvé, A.[Alain], Younes, L.[Laurent],
Geodesic Shooting for Computational Anatomy,
JMIV(24), No. 2, March 2006, pp. 209-228.
WWW Version. 0605 BibRef
Earlier:
The Metric Spaces, Euler Equations, and Normal Geodesic Image Motions of Computational Anatomy,
ICIP03(II: 635-638).
IEEE Abstract. IEEE Top Reference. 0312 BibRef

Dinten, J.M., Trouve, A.,
A deformable model approach for the determination of transition strips on radiographic images,
ICPR92(II:355-358).
WWW Version. 9208 BibRef

Younes, L.[Laurent],
Combining Geodesic Interpolating Splines and Affine Transformations,
IP(15), No. 5, May 2006, pp. 1111-1119.
WWW Version. 0605 BibRef

Camion, V.[Vincent], Younes, L.[Laurent],
Geodesic Interpolating Splines,
EMMCVPR02(513 ff.).
HTML Version. 0205 BibRef

Garcin, L.[Laurent], Younes, L.[Laurent],
Geodesic Matching with Free Extremities,
JMIV(25), No. 3, October 2006, pp. 329-340.
WWW Version. 0611 BibRef
Earlier:
Geodesic Image Matching: A Wavelet Based Energy Minimization Scheme,
EMMCVPR05(349-364).
WWW Version. 0601 BibRef

Allassonnière, S.[Stéphanie], Trouvé, A.[Alain], Younes, L.[Laurent],
Geodesic Shooting and Diffeomorphic Matching Via Textured Meshes,
EMMCVPR05(365-381).
WWW Version. 0601 BibRef

Felsberg, M.[Michael], Forssen, P.E.[Per-Erik], Scharr, H.[Hanno],
Channel Smoothing: Efficient Robust Smoothing of Low-Level Signal Features,
PAMI(28), No. 2, February 2006, pp. 209-222.
WWW Version. 0601Encode into channels, average the channels, decode the channels. BibRef

Felsberg, M.[Michael],
Extending Graph-Cut to Continuous Value Domain Minimization,
CRV07(274-281).
WWW Version. 0705 BibRef

Felsberg, M.[Michael],
Wiener Channel Smoothing: Robust Wiener Filtering of Images,
DAGM05(468).
WWW Version. 0509 BibRef

Ciulla, C., Deek, F.P.,
Novel Schemes of Trivariate Linear and One-Dimensional Quadratic B-Spline Interpolation Functions Based on the Sub-Pixel Efficacy Region,
GVIP(05), No. V8, 2005, pp. 42-53.
HTML Version. BibRef 0500

Ameur, E.B.[El Bachir], Sbibih, D.[Driss], Almhdie, A.[Ahmad], Leger, C.[Christophe],
New Spline Quasi-Interpolant for Fitting 3-D Data on the Sphere: Applications to Medical Imaging,
SPLetters(14), No. 5, May 2007, pp. 333-336.
WWW Version. 0704 BibRef

Li, X.[Xin], Deng, J.[Jiansong], Chen, F.L.[Fa-Lai],
Surface modeling with polynomial splines over hierarchical T-meshes,
VC(23), No. 12, December 2007, pp. 1027-1033.
WWW Version. 0712 BibRef

Shen, L.[Liyong], Chen, F.L.[Fa-Lai], Jüttler, B.[Bert], Deng, J.S.[Jian-Song],
Approximate mu-Bases of Rational Curves and Surfaces,
GMP06(175-188).
WWW Version. 0607 BibRef

Aigner, M., Sir, Z., Jüttler, B.,
Least-Squares Approximation by Pythagorean Hodograph Spline Curves Via an Evolution Process,
GMP06(45-58).
WWW Version. 0607 BibRef

Biswas, S.[Sambhunath], Lovell, B.C.[Brian C.],
Bézier and Splines in Image Processing and Machine Vision,
Springer2008, ISBN: 978-1-84628-956-9.
WWW Version. Survey, Splines. Survey, Active Contours. BibRef 0800

Khan, M.A.[Murtaza Ali], Ohno, Y.[Yoshio],
Compression of Video Data Using Parametric Line and Natural Cubic Spline Block Level Approximation,
ICICE(E90-D), No. 5, May 2007, pp. 844-850.
WWW Version. 0705Spline approximation first. BibRef

Daniels Ii, J.[Joel], Ochotta, T.[Tilo], Ha, L.K.[Linh K.], Silva, C.T.[Cláudio T.],
Spline-based feature curves from point-sampled geometry,
VC(24), No. 6, June 2008, pp. xx-yy.
WWW Version. 0804 BibRef


Zang, Y.[Yu], Liu, Y.J.[Yong-Jin], Lai, Y.K.[Yu-Kun],
Note on Industrial Applications of Hu's Surface Extension Algorithm,
GMP08(xx-yy).
WWW Version. 0804 See also extension algorithm for B-splines by curve unclamping, An. BibRef

Salvi, P., Suzuki, H., Várady, T.,
Fast and Local Fairing of B-Spline Curves and Surfaces,
GMP08(xx-yy).
WWW Version. 0804 BibRef

Stefanus, L.Y.[L. Yohanes],
Shape Representations with Blossoms and Buds,
GMP06(397-408).
WWW Version. 0607Polynomial representations. BibRef

He, Y.[Ying], Wang, K.X.[Ke-Xiang], Wang, H.Y.[Hong-Yu], Gu, X.F.[Xian-Feng], Qin, H.[Hong],
Manifold T-Spline,
GMP06(409-422).
WWW Version. 0607 BibRef

Glas, S.[Sonja], Recatalá, G.[Gabriel], Sorg, M.[Michael],
Automatic Reconstruction of Silhouettes Using B-Splines,
SCIA03(239-246).
WWW Version. 0310 BibRef

Bondarenko, A.V., Svinyin, S.F., Skourikhin, A.V.,
Multidimensional b-spline forms and their fourier transforms,
ICIP03(II: 907-909).
IEEE Abstract. IEEE Top Reference. 0312 BibRef

Mamic, G., Bennamoun, M.,
Automatic Bayesian Knot Placement for Spline Fitting,
ICIP01(I: 169-172).
IEEE Abstract. IEEE Top Reference. 0108 BibRef

Haruki, R., Horiuchi, T.,
Data Fitting by Spline Functions Using the Biorthonormal Basis of the B-spline Basis,
ICPR00(Vol III: 270-273).
WWW Version.
WWW Version.
HTML Version. 0009 BibRef

Brigger, P., Engel, R., Unser, M.,
B-spline snakes and a JAVA interface: an intuitive tool for general contour outlining,
ICIP98(II: 277-281).
WWW Version. 9810 BibRef

Guleer, S., Derin, H.[Haluk],
Adaptive feature selection and constrained weak-membrane optimization for boundary detection,
ICIP94(II: 222-226).
WWW Version. 9411 BibRef

Chapter on 2-D Region Segmentation Techniques, Snakes, Active Contours continues in
Texture Based Segmentation Techniques .


Last update:Aug 27, 2008 at 19:16:50