This study proposes a novel alternating optimization algorithm for bundle adjustment, a critical process in structure from motion methods. We introduce the inverse depth of each three-dimensional(3D) point as an augme...
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This study proposes a novel alternating optimization algorithm for bundle adjustment, a critical process in structure from motion methods. We introduce the inverse depth of each three-dimensional(3D) point as an augmented independent variable and develop a low-order polynomial error metric. Theoretically, the error can be adjusted to align closely with the re-projection error since it essentially acts as a re-weighted re-projection error. We decouple the bundle adjustment problem by breaking it down into three separate tasks: estimating the camera's pose, determining the 3D structure, and optionally estimating the camera's intrinsic parameter. Each task can be handled independently, either by camera or by point, allowing for easy distribution of computation. Camera pose estimation is a case of the absolute orientation problem, which can be globally solved in closed form. A linearization scheme is proposed for 3D point estimation, which allows the computation of the update direction and line search in closed form. Our algorithm proves to be efficient, reliable,and accurate, as demonstrated by experimental results that confirm its superiority over recent alternatives.
The paper is devoted to a numerical study of detonation initiation in the gas mixture in the channel with a profiled end. Initiation occurs as a result of the reflection of the shock wave of relatively low intensity f...
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On the basis of conservative numerical methods, the spatial nonstationary vortex structure of the flow arising in the supersonic motion in the atmosphere of a descent vehicle and the parachute system canopies located ...
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Abstract: We describe a numerical model approximating the system of equations for a viscous fluidwith a polymer molecule additive. This is a hybrid model based on the use of Godunov’slinearized and finite-difference ...
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Abstract: Using two-dimensional cylindrically symmetric physical and mathematical model and analgorithm, a numerical investigation of the problem of irradiating a volumetric aluminum targetwith a single femtosecond la...
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Abstract: This paper analyzes weighted essentially non-oscillatory (WENO)-schemes for the solution of one-dimensional Euler equations with a Mie−Grüneisen type of equation of state. The least dissipative and osci...
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Non-destructive testing of composites is an important issue in the modern aircraft *** are susceptible to the barely visible impact damage which can affect the residual strength of the material and occurs both during ...
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Non-destructive testing of composites is an important issue in the modern aircraft *** are susceptible to the barely visible impact damage which can affect the residual strength of the material and occurs both during production and *** continuum model for describing the damaged zone is *** slip theory relations used for a continuous distribution of slip planes are *** the initial stage,the isotropic background model is *** model allows the material slippage along the fractures based on the Coulomb friction law with the small viscous *** this regime,the govern system of equations becomes *** overcome this difficulty,the explicit-implicit grid-characteristic scheme is *** standard ultrasound diagnostic procedure of damaged composite materials is successfully *** with the trivial free-surface fracture model,different reactions on the compression and stretch waves are *** approach provided an effective way for the simulation of complex dynamic behavior of damage zones.
Abstract: A numerical study of the interaction of a blast wave with liquid foam is carried out usingthe system of Baer–Nunziato equations. This problem is aimed at studying the influence of thecompaction mechanism on...
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Abstract: The problems of the motion and destruction of large cosmic bodies under the influence of thermal and force loads in the Earth’s atmosphere are considered. Based on the modified physical theory of meteors, a...
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Abstract: The known lower bound for the maximum number of prime implicants (maximal faces) ofa Boolean function differs from the upper bound by a factor of (Formula presented.) and is asymptotically attained on a symm...
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