A wavelet approach for determining a surface covered with airborne LiDAR points

Jaan-Rong Tsay, Cheng Wei Yen

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents a new approach for reconstructing object surface covered with 3D points. It utilizes the 2D Daubechies scaling functions of 3 rd order, which can describe fractal geometry, to formulate the observation equation for each point. The linear system is then solved by the least-squares adjustment (LSA) and the reconstructed surface can then be generated. To overcome the ill-posed problem which often emerges in LSA, we employ a from-coarse-to-fine strategy and use the pseudo observations designed on dyadic points, called PHO (Pseudo Height Observations) and POI (Pseudo Observations by Interpolation). Moreover, a full-automated weighting model is proposed to eliminate the so-called Gibbs effect. It reduces the weights of the points whose absolute residuals are larger than twice the a priori height accuracy of the LiDAR point. Tests are done by using airborne LiDAR points. They verify that the artifacts can be completely eliminated by adopting the pseudo observations and the weighting model. While the dyadic points have approximately the point interval of LiDAR points, the a posteriori standard deviations of unit weight of our tests are about ±20∼23cm which are all to the extents of the a priori height accuracy, ±25cm.

Original languageEnglish
Title of host publicationAsian Association on Remote Sensing - 27th Asian Conference on Remote Sensing, ACRS 2006
Pages1130-1135
Number of pages6
Publication statusPublished - 2006 Dec 1
Event27th Asian Conference on Remote Sensing, ACRS 2006 - Ulaanbaatar, Mongolia
Duration: 2006 Oct 92006 Oct 13

Publication series

NameAsian Association on Remote Sensing - 27th Asian Conference on Remote Sensing, ACRS 2006

Other

Other27th Asian Conference on Remote Sensing, ACRS 2006
CountryMongolia
CityUlaanbaatar
Period06-10-0906-10-13

Fingerprint

Fractals
Linear systems
Interpolation
Geometry

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications

Cite this

Tsay, J-R., & Yen, C. W. (2006). A wavelet approach for determining a surface covered with airborne LiDAR points. In Asian Association on Remote Sensing - 27th Asian Conference on Remote Sensing, ACRS 2006 (pp. 1130-1135). (Asian Association on Remote Sensing - 27th Asian Conference on Remote Sensing, ACRS 2006).
Tsay, Jaan-Rong ; Yen, Cheng Wei. / A wavelet approach for determining a surface covered with airborne LiDAR points. Asian Association on Remote Sensing - 27th Asian Conference on Remote Sensing, ACRS 2006. 2006. pp. 1130-1135 (Asian Association on Remote Sensing - 27th Asian Conference on Remote Sensing, ACRS 2006).
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Tsay, J-R & Yen, CW 2006, A wavelet approach for determining a surface covered with airborne LiDAR points. in Asian Association on Remote Sensing - 27th Asian Conference on Remote Sensing, ACRS 2006. Asian Association on Remote Sensing - 27th Asian Conference on Remote Sensing, ACRS 2006, pp. 1130-1135, 27th Asian Conference on Remote Sensing, ACRS 2006, Ulaanbaatar, Mongolia, 06-10-09.

A wavelet approach for determining a surface covered with airborne LiDAR points. / Tsay, Jaan-Rong; Yen, Cheng Wei.

Asian Association on Remote Sensing - 27th Asian Conference on Remote Sensing, ACRS 2006. 2006. p. 1130-1135 (Asian Association on Remote Sensing - 27th Asian Conference on Remote Sensing, ACRS 2006).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Tsay J-R, Yen CW. A wavelet approach for determining a surface covered with airborne LiDAR points. In Asian Association on Remote Sensing - 27th Asian Conference on Remote Sensing, ACRS 2006. 2006. p. 1130-1135. (Asian Association on Remote Sensing - 27th Asian Conference on Remote Sensing, ACRS 2006).