Shape reconstruction from a normal map in terms of uniform bi-quadratic B-spline surfaces

Yamaura, Yusuke; Nanya, Takaki; Imoto, Harutaka; Maekawa, Takashi

doi:10.1016/j.cad.2015.01.005

Cited by 12 publications

(10 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…In [61], Yamaura et al design a new method based on B-splines, which has the same properties as that proposed in [10]. But since the latter "relies on secondorder partial differential equations, which is inefficient and unnecessary, as normal vectors consist of only firstorder derivatives", a simpler formalism with higher performances is proposed.…”

Section: Methods Which Do Not Care About Discontinuitiesmentioning

confidence: 99%

Normal Integration: A Survey

Quéau¹,

2017

View full text Add to dashboard Cite

The need for efficient normal integration methods is driven by several computer vision tasks such as shape-from-shading, photometric stereo, deflectometry, etc. In the first part of this survey, we select the most important properties that one may expect from a normal integration method, based on a thorough study of two pioneering works by Horn and Brooks [28] and by Frankot and Chellappa [19]. Apart from accuracy, an integration method should at least be fast and robust to a noisy normal field. In addition, it should be able to handle several types of boundary condition, including the case of a free boundary, and a reconstruction domain of any shape i.e., which is not necessarily rectangular. It is also much appreciated that a minimum number of parameters have to be tuned, or even no parameter at all. Finally, it should preserve the depth discontinuities. In the second part of this survey, we review most of the existing methods in view of this analysis, and conclude that none of them satisfies all of the required properties. This work is complemented by a companion paper entitled Variational Methods for Normal Integration, in which we focus on the problem of normal integration in the presence of depth discontinuities, a problem which occurs as soon as there are occlusions.

show abstract

Section: Methods Which Do Not Care About Discontinuitiesmentioning

confidence: 99%

Normal Integration: A Survey

Quéau¹,

2017

View full text Add to dashboard Cite

show abstract

“…To evaluate and display this information, the resulting gradient field has to be transformed into a height map, i.e., into a virtual surface. In the works [28][29][30][31][32][33][34] approaches can be found which make this possible.…”

Section: State Of the Artmentioning

confidence: 99%

Investigation of an Inline Inspection Method for the Examination of Cylinder-like Specular Surfaces Using Deflectometry

et al. 2022

View full text Add to dashboard Cite

An optical measuring method is presented, with which it is possible to measure and evaluate reflective cylindrical surfaces using a combination of deflectometry and subsequent reconstruction of the surface. The system is set up and tested on rolling elements of cylindrical roller bearings. However, it is not limited to this use case and can be applied to other cylindrical specular surfaces. The system distinguishes itself from existing test methods through the combination of high-resolution three-dimensional defect measurement with a very short recording time, and offers the possibility of introducing tolerance limits in the production of cylindrical specular surfaces. With this method, it is possible to record a defect with the dimensions of 1.3 mm by 1.8 mm within 5 s and to reconstruct the absolute depth. The resolution of the system is below 10 μm in both X- and Y-direction, and is therefore sufficiently accurate to detect typical surface defects such as scratches, dents, or deformations. To validate the measured values of the system, the results of an artificially generated 10.35 μm deep defect location were compared with those of a highly accurate mechanical stylus measurement.

show abstract

“…This method produces with a uniform or periodic knot vector, the basis functions repeating itself through successively interval for the parametric variables. The final equation of cubic periodic (uniform) B-spline curve when k4 is [9]:…”

Section: Uniform B-spline Curvesmentioning

confidence: 99%

تصـميم وتنفيـذ الاسطح الحـرة بأسـتخدام طريقة التصميم للمقاطـع المستعرضة لمنحنيـات الـ B-spline

Hamdan¹,

Abdulrazaq²

2019

alkej

View full text Add to dashboard Cite

This research presents a particular designing strategy for a free form of surfaces, constructed by the lofting design method. The regarded surfaces were created by sliding a B-spline curves (profile curves), in addition to describing an automatic procedure for selective identification of sampling points in reverse engineering applications using Coordinate Measurement Machine. Two models have been implemented from (Ureol material) to represent the different cases of B-spline types to clarify its scope of application. The interior data of the desired surfaces was designed by MATLAB software, which then were transformed to UG-NX9 software for connecting the sections that were designed in MATLAB program and obtaining G-code programs for the models In addition, a virtual machining process was simulated to show the machining pitfalls, using VERICUT software. The samples were machined using 3-axis vertical CNC machine (Isel) type. Finally, the samples were measured using Faro arm (CMM inspection) and it was found that the average of errors was equal to (0.0589 mm) for the cross-sectional uniform B-spline model, and (0.1337 mm) for the lofted non-uniform B-spline model. It can be concluded that the whole steps task which built in the present research can be programmed in a single block of the part program where any surface at minimum designing time can be created from it.

show abstract

Shape reconstruction from a normal map in terms of uniform bi-quadratic B-spline surfaces

Cited by 12 publications

References 17 publications

Normal Integration: A Survey

Normal Integration: A Survey

Investigation of an Inline Inspection Method for the Examination of Cylinder-like Specular Surfaces Using Deflectometry

تصـميم وتنفيـذ الاسطح الحـرة بأسـتخدام طريقة التصميم للمقاطـع المستعرضة لمنحنيـات الـ B-spline

Contact Info

Product

Resources

About