We first discuss the relativity of "true value and homogeneity" for quantitative remote sensing products (QRSPs), and then propose the definitions of "eigenaccuracy" and "eigenhomogeneity" under practical conditions. The eigenaccuracy and eigenhomogeneity for land surface crucial parameters such as albedo, leaf area index (LAI), and surface temperature are analyzed based on a series of experiments. Secondly, we point out the differences and similarities between the scale-free phenomena of the QRSPs and the measurements of the coastline length (1-dimensional) and the curved surface area (2-dimensional). An information fractal algorithm for the QRSPs is presented. In a case study for the LAI, when the fractal dimension is 2.16, the ratio of the LAI retrieval values obtained respectively from remote sensing data of 30 m and 6 km pixel resolution can actually reach as high as 2.86 for the same 6 km pixel using the same retrieval model. Finally, we propose an operational validation method "one test and two matches" and multipoint observation when the real situation does not allow carrying out scanning measurement without gap and overlap on the ground surface. It would be almost impossible to understand the spatial pattern and the temporal evolution principles of land surface variables without the accurate spatially-distributed information, and is thus difficult to discover the temporal-spatial dynamics of the land surface processes (such as global climate change, water cycle, and carbon cycle) at regional or global scales. Quantitative remote sensing (QRS) has the advantage of obtaining the spatially-distributed information with a certain frequency for land surface variables retrieved from electromagnetic signals, which is a revolutionary improvement compared with the traditional observations based on discrete ground points. With the development of space technology, remote sensing and ground-based observation techniques, more and more satellites have been launched. All kinds of high quality and multiple functional sensors on ground or space borne provide us various categories of abundant and near real time observations. However, because of the insufficient study of the validation of quantitative remote sensing products (QRSPs) and the lack of the validation theories and practical methods, particularly, the scaling theory for heterogeneous land surface variables, the gap could not be filled between remotely sensed information at regional scales and ground-based measurements at field scales. This limits the further applications of remote sensing data and products.Therefore, it is urgent to develop theories to validate the QRSPs. Validation is to quantify the accuracy and reliabil-