Shape from texture based on the ridge of continuous wavelet transform

Chun Shien Lu, Wen Liang Hwang, Hong Yung Mark Liao, Pau-Choo Chung

Research output: Contribution to conferencePaper

6 Citations (Scopus)

Abstract

We propose a new shape from texture method based on the ridge of continuous wavelet transform. This method determines the orientations of planar surface in a direct way under the perspective projection model. The variations of the image projected from a planar surface can be accurately characterized by the ridge of continuous wavelet transform. The ridge of 1-D signal and 2-D image are represented as ridge curve and ridge plane, respectively. Ridges represent the energy concentration in the time-frequency plane where the energy is a local maxima. We show that the ridge of the projected image is a parabolic plane with a rotation angle equal to the tilt angle of the planar surface. The ridge is then rotated with the angle such that the slant effect appears in the X-axis and pay no role along the Y-axis. As a result, the rotated ridge plane can be regarded as the plane composed of many 1-D ridge curve. The slant angle of 2-D image is thus obtained from the derived slant angle of 1-D signal. A voting method and a curve fitting method are developed to obtain the slant angle of 1-D signal. Several synthetic and real-world images have demonstrated the robustness and accuracy of our method.

Original languageEnglish
Pages295-298
Number of pages4
Publication statusPublished - 1996 Dec 1
EventProceedings of the 1996 IEEE International Conference on Image Processing, ICIP'96. Part 2 (of 3) - Lausanne, Switz
Duration: 1996 Sep 161996 Sep 19

Other

OtherProceedings of the 1996 IEEE International Conference on Image Processing, ICIP'96. Part 2 (of 3)
CityLausanne, Switz
Period96-09-1696-09-19

Fingerprint

Wavelet transforms
Textures
Curve fitting

All Science Journal Classification (ASJC) codes

  • Hardware and Architecture
  • Computer Vision and Pattern Recognition
  • Electrical and Electronic Engineering

Cite this

Lu, C. S., Hwang, W. L., Liao, H. Y. M., & Chung, P-C. (1996). Shape from texture based on the ridge of continuous wavelet transform. 295-298. Paper presented at Proceedings of the 1996 IEEE International Conference on Image Processing, ICIP'96. Part 2 (of 3), Lausanne, Switz, .
Lu, Chun Shien ; Hwang, Wen Liang ; Liao, Hong Yung Mark ; Chung, Pau-Choo. / Shape from texture based on the ridge of continuous wavelet transform. Paper presented at Proceedings of the 1996 IEEE International Conference on Image Processing, ICIP'96. Part 2 (of 3), Lausanne, Switz, .4 p.
@conference{1ade429a57e94bc3a980603c82ec93ac,
title = "Shape from texture based on the ridge of continuous wavelet transform",
abstract = "We propose a new shape from texture method based on the ridge of continuous wavelet transform. This method determines the orientations of planar surface in a direct way under the perspective projection model. The variations of the image projected from a planar surface can be accurately characterized by the ridge of continuous wavelet transform. The ridge of 1-D signal and 2-D image are represented as ridge curve and ridge plane, respectively. Ridges represent the energy concentration in the time-frequency plane where the energy is a local maxima. We show that the ridge of the projected image is a parabolic plane with a rotation angle equal to the tilt angle of the planar surface. The ridge is then rotated with the angle such that the slant effect appears in the X-axis and pay no role along the Y-axis. As a result, the rotated ridge plane can be regarded as the plane composed of many 1-D ridge curve. The slant angle of 2-D image is thus obtained from the derived slant angle of 1-D signal. A voting method and a curve fitting method are developed to obtain the slant angle of 1-D signal. Several synthetic and real-world images have demonstrated the robustness and accuracy of our method.",
author = "Lu, {Chun Shien} and Hwang, {Wen Liang} and Liao, {Hong Yung Mark} and Pau-Choo Chung",
year = "1996",
month = "12",
day = "1",
language = "English",
pages = "295--298",
note = "Proceedings of the 1996 IEEE International Conference on Image Processing, ICIP'96. Part 2 (of 3) ; Conference date: 16-09-1996 Through 19-09-1996",

}

Lu, CS, Hwang, WL, Liao, HYM & Chung, P-C 1996, 'Shape from texture based on the ridge of continuous wavelet transform' Paper presented at Proceedings of the 1996 IEEE International Conference on Image Processing, ICIP'96. Part 2 (of 3), Lausanne, Switz, 96-09-16 - 96-09-19, pp. 295-298.

Shape from texture based on the ridge of continuous wavelet transform. / Lu, Chun Shien; Hwang, Wen Liang; Liao, Hong Yung Mark; Chung, Pau-Choo.

1996. 295-298 Paper presented at Proceedings of the 1996 IEEE International Conference on Image Processing, ICIP'96. Part 2 (of 3), Lausanne, Switz, .

Research output: Contribution to conferencePaper

TY - CONF

T1 - Shape from texture based on the ridge of continuous wavelet transform

AU - Lu, Chun Shien

AU - Hwang, Wen Liang

AU - Liao, Hong Yung Mark

AU - Chung, Pau-Choo

PY - 1996/12/1

Y1 - 1996/12/1

N2 - We propose a new shape from texture method based on the ridge of continuous wavelet transform. This method determines the orientations of planar surface in a direct way under the perspective projection model. The variations of the image projected from a planar surface can be accurately characterized by the ridge of continuous wavelet transform. The ridge of 1-D signal and 2-D image are represented as ridge curve and ridge plane, respectively. Ridges represent the energy concentration in the time-frequency plane where the energy is a local maxima. We show that the ridge of the projected image is a parabolic plane with a rotation angle equal to the tilt angle of the planar surface. The ridge is then rotated with the angle such that the slant effect appears in the X-axis and pay no role along the Y-axis. As a result, the rotated ridge plane can be regarded as the plane composed of many 1-D ridge curve. The slant angle of 2-D image is thus obtained from the derived slant angle of 1-D signal. A voting method and a curve fitting method are developed to obtain the slant angle of 1-D signal. Several synthetic and real-world images have demonstrated the robustness and accuracy of our method.

AB - We propose a new shape from texture method based on the ridge of continuous wavelet transform. This method determines the orientations of planar surface in a direct way under the perspective projection model. The variations of the image projected from a planar surface can be accurately characterized by the ridge of continuous wavelet transform. The ridge of 1-D signal and 2-D image are represented as ridge curve and ridge plane, respectively. Ridges represent the energy concentration in the time-frequency plane where the energy is a local maxima. We show that the ridge of the projected image is a parabolic plane with a rotation angle equal to the tilt angle of the planar surface. The ridge is then rotated with the angle such that the slant effect appears in the X-axis and pay no role along the Y-axis. As a result, the rotated ridge plane can be regarded as the plane composed of many 1-D ridge curve. The slant angle of 2-D image is thus obtained from the derived slant angle of 1-D signal. A voting method and a curve fitting method are developed to obtain the slant angle of 1-D signal. Several synthetic and real-world images have demonstrated the robustness and accuracy of our method.

UR - http://www.scopus.com/inward/record.url?scp=0030406452&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030406452&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:0030406452

SP - 295

EP - 298

ER -

Lu CS, Hwang WL, Liao HYM, Chung P-C. Shape from texture based on the ridge of continuous wavelet transform. 1996. Paper presented at Proceedings of the 1996 IEEE International Conference on Image Processing, ICIP'96. Part 2 (of 3), Lausanne, Switz, .