## 1 Introduction  
Geometric patterns used for fretted panels have the roots in the Islamic culture and they are constructed following symmetry and mathematical rules and using basic geometric shapes, such as triangle, rectangle and pentagon [1]. There are two main possibilities of using modern technology to obtain wood-fretted panels with complex geometric patterns and they are laser cutting and CNC routing. As the firework manufacture is used for furniture decoration, the aesthetic aspect as well as the quality of processing are important factors which deserve attention and care [2]. Some studies were conducted by researchers to investigate the quality of the surface obtained by using laser technology on various materials by measuring the roughness parameters. Research on Norway maple, which has a uniform texture, has indicated that the roughness parameters (Ra, Rsk, Rt, Rk, Rpk, and Rvk) increased with the laser power and decreased with the laser scanning speed [3]. However, comprehensive studies on surface roughness of wood surfaces cut by the laser are scarce and are limited to a few species. The quality of the surface has been also investigated on CO\({}_{2}\) laser cut engineered materials, such as MDF [4], melamine faced particleboard and phenolic resin boards [5], measuring the Ra roughness parameter [4], and the Rz roughness parameter [5]. The results showed that the roughness parameters of the cut surfaces decreased with the increasing laser power and focal point position of the laser beam. Other studies on laser engraving have shown that the inhomogeneity of the wood species, such as chestnut, oak and pine, plays an important role in the material removal rate because of the burning process, which is more intense for the low-density cells from early wood than for the increased density from the late wood cells [6]. The early wood has wide cells with thin walls, and with the advancement of the seasons, the late wood cells with thicker walls are formed [7]. In an annual ring, the wood density gradually increases and the wood degradation rate under the laser beam action decreases, so that an abrupt transition between early wood and late wood occurs, such as for spruce wood [8]. Glossy surface as a melting layer and strong carbonization were observed for high laser intensity, explained as chemical reaction occurring in the hemicellulose and the lignin complex due to CO\({}_{2}\) laser treatment on the wood surface [9]. Laser cutting of spruce wood parallel to the wood grain resulted in the increasing of the width of the cutting kerf with an increasing of laser power and decreasing of the wood density [10]. With regard to the studies on the second processing method, during the cutting process of wood by Computerized Numerical Control (CNC) routers, researchers found an interaction between various input factors, such as wood anatomical structure, grain pattern and orientation, wood moisture content, processing parameters and the quality of the machined wood surfaces. The surface roughness of wood and wood engineering materials was determined by methods based on using surface-measuring equipment, both by contact and contactless. Generally, the average roughness (Ra), the maximum height of profiles (Rz) and the root mean square deviation (Rq) were the roughness parameters used for the evaluation of the processed surface quality [11; 12; 13; 14; 15; 16]. In this respect, it was determined [11] that pine surface quality is influenced mostly by the cutting direction, whilst for spruce, the significant factors were cutting depth and feed speed. Other studies found that the wood species with high density and low porosity may result in smoother machined surfaces [12; 13]. For engineered materials such as MDF, high spindle speeds resulted in better surface quality and increased stepover and feed rate affected negatively the surface roughness [14; 15].