No abstract

Implicit Neural Representations (INR) use multilayer perceptrons to represent high-frequency functions in lowdimensional problem domains. Recently these representations achieved state-of-the-art results on tasks related to complex 3D objects and scenes. A core problem is the representation of highly detailed signals, which is tackled using networks with periodic activation functions (SIRENs) or applying Fourier mappings to the input. This work analyzes the connection between the two methods and shows that a Fourier mapped perceptron is structurally like one hidden layer SIREN. Furthermore, we identify the relationship between the previously proposed Fourier mapping and the general d-dimensional Fourier series, leading to an integer lattice mapping. Moreover, we modify a progressive training strategy to work on arbitrary Fourier mappings and show that it improves the generalization of the interpolation task. Lastly, we compare the different mappings on the image regression and novel view synthesis tasks. We confirm the previous finding that the main contributor to the mapping performance is the size of the embedding and standard deviation of its elements.

Concrete is a versatile and the most widely used material in the world. According to a recent survey, its annual production is one cubic meter per person. Historically, it is an old material, which has evolved tremendously during the passage of time. This paper envisages the most recent smart developments in this wonderful material. The smart concretes discussed in this paper include Engineering Cementitious Composites, Self cleaning concrete, self heating concretes and ultra high performance powder reactive concretes. Through modern technology, the strength of concrete has been enhanced from a few hundred pounds per square inch to more than 30000 pounds per square inch. In the same way, the utility of concrete has been tremendously broadened in many fields. Here, primarily, a brief introduction of all important recent developments is discussed. Next, the composition of these materials is narrated, followed by their applications and utilities. The main theme of this paper is to understand the importance of these concretes and to introduce it to academia and construction industry of Pakistan. It is demonstrated that the introduction of these materials will solve many problems of construction, which are not possible to solve with conventional means. Moreover, these developments could solve many energy problems and some are even quite suitable for earthquake zones of Pakistan.